What is the Least Common Multiple of 95832 and 95838?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95832 and 95838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95832 and 95838, than apply into the LCM equation.

GCF(95832,95838) = 6
LCM(95832,95838) = ( 95832 × 95838) / 6
LCM(95832,95838) = 9184347216 / 6
LCM(95832,95838) = 1530724536

Least Common Multiple (LCM) of 95832 and 95838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95832 and 95838. First we will calculate the prime factors of 95832 and 95838.

Prime Factorization of 95832

Prime Factorization of 95838

Now multiplying the highest exponent prime factors to calculate the LCM of 95832 and 95838.

LCM(95832,95838) = 2³ × 3² × 11³ × 15973¹
LCM(95832,95838) = 1530724536